Given numbers are 3382,4712

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 3382,4712 is 419368.

Find LCM of 3382,4712 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 19 x 89 x 124 = 419368

Therefore, the lowest common multiple of 3382,4712 is 419368.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

3382 x 4712 = 15935984

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

3382 : 1, 2, 19, 38, 89, 178, 1691, 3382

4712 : 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712

38 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3382,4712, is 38.

Now, the common factors can be found like this.

3382:2x 19x 89

4712:2x 2x 2x 19x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15935984/(38x1)

LCM = 15935984/38

LCM = 419368

Thus, we can understand that the LCM of 3382,4712 is 419368.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 2342, 7782
• LCM of 2005, 9252
• LCM of 6356, 2382
• LCM of 9639, 4014
• LCM of 3993, 2130

1. What is the LCM of 3382, 4712?

Answer: LCM of 3382, 4712 is 419368.

2. How to calculate the LCM of 3382, 4712?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 3382, 4712.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.